253313343313352 has 64 divisors (see below), whose sum is σ = 555970289424000. Its totient is φ = 105961395995136.

The previous prime is 253313343313309. The next prime is 253313343313427.

253313343313352 is nontrivially palindromic in base 10.

253313343313352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×253313343313352² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309289277 + ... + 310107212.

It is an arithmetic number, because the mean of its divisors is an integer number (8687035772250).

Almost surely, 2^{253313343313352} is an apocalyptic number.

It is an amenable number.

253313343313352 is an abundant number, since it is smaller than the sum of its proper divisors (302656946110648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253313343313352 is a wasteful number, since it uses less digits than its factorization.

253313343313352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619396678 (or 619396674 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 44.

The spelling of 253313343313352 in words is "two hundred fifty-three trillion, three hundred thirteen billion, three hundred forty-three million, three hundred thirteen thousand, three hundred fifty-two".